OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 29, Iss. 32 — Nov. 10, 1990
  • pp: 4779–4783

Amplitude compensated matched filters using circular harmonic expansion and a Mellin transform

Ying Sun, Zhao-Qi Wang, and Guo-Guang Mu  »View Author Affiliations

Applied Optics, Vol. 29, Issue 32, pp. 4779-4783 (1990)

View Full Text Article

Enhanced HTML    Acrobat PDF (603 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The new techniques of amplitude compensated matched filtering using circular harmonic expansion and a Mellin transform are presented. These techniques yield much better discrimination and sharper autocorrelation peaks compared with the classical matched spatial filtering. Aside from these advantages, the amplitude compensated circular harmonic expansion matched filtering can also yield rotation invariance, and the amplitude compensated Mellin transform matched filtering can yield scale invariance. By computer simulation, we have verified the unique advantages of the new methods. We also provide 3-D graphs of autocorrelation and cross correlation.

© 1990 Optical Society of America

Original Manuscript: July 10, 1989
Published: November 10, 1990

Ying Sun, Zhao-Qi Wang, and Guo-Guang Mu, "Amplitude compensated matched filters using circular harmonic expansion and a Mellin transform," Appl. Opt. 29, 4779-4783 (1990)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. A. B. VanderLugt, “Signal Detection By Complex Spatial Filtering,” IEEE Trans. Inf. Theory IT-10, 139–145 (1964). [CrossRef]
  2. A. V. Oppenheim, J. S. Lim, “The Importance of Phase in Signals,” Proc. IEEE 69, 529–541 (1981). [CrossRef]
  3. J. L. Horner, P. D. Gianino, “Phase-Only Matched Filtering,” Appl. Opt. 23, 812–816 (1984). [CrossRef] [PubMed]
  4. G. G. Mu, X.-M. Wang, Z.-Q. Wang, “Amplitude-Compensated Matched Filtering,” Appl. Opt. 27, 3461–3463 (1988). [CrossRef] [PubMed]
  5. Y-N. Hsu, H. H. Arsenault, G. April, “Rotation-Invariant Digital Pattern Recognition Using Circular Harmonic Expansion,” Appl. Opt. 21, 4012–4015 (1982). [CrossRef] [PubMed]
  6. Y-N. Hsu, H. H. Arsenault, “Optical Pattern Recognition Using Circular Harmonic Expansion,” Appl. Opt. 21, 4016–4019 (1982). [CrossRef] [PubMed]
  7. D. Casasent, D. Psaltis, “Scale Invariant Optical Correlation Using Mellin Transforms,” Opt. Commun. 17, 59–63 (1976). [CrossRef]
  8. J. Rosen, J. Shamir, “Circular Harmonic Phase Filters for Efficient Rotation-Invariant Pattern Recognition,” Appl. Opt. 27, 2895–2899 (1988). [CrossRef] [PubMed]
  9. D. L. Flannery, J. S. Loomis, M. E. Milkovich, “Transform-Ratio Ternary Phase-Amplitude Filter Formulation for Improved Correlation Discrimination,” Appl. Opt. 27, 4079–4083 (1988). [CrossRef] [PubMed]
  10. D. Mendlovic, E. Marom, N. Konforti, “Shift and Scale Invariant Pattern Recognition Using Mellin Radial Harmonics,” Opt. Commun. 67, 172–176 (1988). [CrossRef]
  11. J. Rosen, J. Shamir, “Scale Invariant Pattern Recognition with Logarithmic Radial Harmonic Filters,” Appl. Opt. 28, 240–244 (1989). [CrossRef] [PubMed]
  12. D. Mendlovic, N. Konforti, E. Marom, “Scale and Projection Invariant Pattern Recognition,” Appl. Opt. 28, 4982–4986 (1989). [CrossRef] [PubMed]
  13. F. T. S. Yu, Optical Information Processing (Wiley–Interscience, New York, 1983), pp. 198–202.
  14. S. M. Arnold, “Electron Beam Fabrication of Computer Generated Hologram,” Opt. Eng. 24, 803–807 (1985).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited